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Finding the Fourth Proportional to 4,829.73, 7,238.16 and 3,161.73

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Solution

The fourth proportional to 4,829.73, 7,238.16 and 3,161.73 is: 4,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.73 : 7,238.16 = 3,161.73 : x
  2. Step 2: Convert to fraction form
    4,829.73/7,238.16 = 3,161.73/x
  3. Step 3: Cross multiply
    4,829.73x = 7,238.16 × 3,161.73
  4. Step 4: Simplify right side
    4,829.73x = 22,885,134.76
  5. Step 5: Solve for x
    x = 22,885,134.76/4,829.73
  6. Step 6: Final answer
    x = 4,738.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.